It’s simple. If you want, approach. It’s not dangerous, you won’t get cancer. If they don’t want to talk, you will stop talking with them and talk with someone else.
"I am deeply afraid of irritating someone or being in awkward situations." - anyone who thinks like this is suffering from abused dog syndrome and unironically has lost at life.
Also, why is he talking about “friends” and “strangers”? We all know he means “women". And there is LITERALLY no problem politely engaging conversation with a strange woman at the gym even if she has earpods on. It’s not a crime, just be normal. You are forgetting that other people are shy too and often want someone to take initiative since in 2026 nobody does.